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Finding the Fourth Proportional to 289,910.79, 400,063.35 and 160,847.91

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Solution

The fourth proportional to 289,910.79, 400,063.35 and 160,847.91 is: 221,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,910.79 : 400,063.35 = 160,847.91 : x
  2. Step 2: Convert to fraction form
    289,910.79/400,063.35 = 160,847.91/x
  3. Step 3: Cross multiply
    289,910.79x = 400,063.35 × 160,847.91
  4. Step 4: Simplify right side
    289,910.79x = 64,349,353,715.10
  5. Step 5: Solve for x
    x = 64,349,353,715.10/289,910.79
  6. Step 6: Final answer
    x = 221,962.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.